3/2010 - Linearization of a free boundary problem in corrosion detection
Elio Cabib, Dario Fasino, Eva Sincich
| Titolo | Linearization of a free boundary problem in corrosion detection |
|---|---|
| Numero | 3/2010 |
| Sottomesso da | Dario Fasino |
| Sottomesso il | 9/4/2010 |
| Stato | Preprint |
| Autori | Elio Cabib, Dario Fasino, Eva Sincich |
| Abstract | We consider a boundary identification problem arising in nondestructive testing of materials. The problem is to recover a part $Gamma_IsubsetpartialOmega$ of the boundary of a bounded, planar domain $Omega$ from one Cauchy data pair of a harmonic potential $u$ in $Omega$ collected on a different boundary subset $Gamma_AsubsetpartialOmega$. We prove Fr'echet differentiability of a suitably defined forward map, and discuss local uniqueness and Lipschitz stability results for the linearized problem. |
| File | 3-2010-fasino.pdf |